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Finding the Fourth Proportional to 10,147.32, 15,214.05 and 3,482.04

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Solution

The fourth proportional to 10,147.32, 15,214.05 and 3,482.04 is: 5,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.32 : 15,214.05 = 3,482.04 : x
  2. Step 2: Convert to fraction form
    10,147.32/15,214.05 = 3,482.04/x
  3. Step 3: Cross multiply
    10,147.32x = 15,214.05 × 3,482.04
  4. Step 4: Simplify right side
    10,147.32x = 52,975,930.66
  5. Step 5: Solve for x
    x = 52,975,930.66/10,147.32
  6. Step 6: Final answer
    x = 5,220.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.